document.write( "Question 1121154: Find integral (dx/sqr(x^2+16)) \n" ); document.write( "

Algebra.Com's Answer #737012 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find integral (dx/sqr(x^2+16))
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We use trig substitution by drawing this right triangle:\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "Then  and \r\n" );
document.write( "\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( " and \r\n" );
document.write( "                        \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substituting,  becomes\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cancel and get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We use \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use trig ratios from above right triangle:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We let  to simplify and end up with:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );